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Finding the Fourth Proportional to 9,677.70, 14,533.11 and 5,951.36

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Solution

The fourth proportional to 9,677.70, 14,533.11 and 5,951.36 is: 8,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.70 : 14,533.11 = 5,951.36 : x
  2. Step 2: Convert to fraction form
    9,677.70/14,533.11 = 5,951.36/x
  3. Step 3: Cross multiply
    9,677.70x = 14,533.11 × 5,951.36
  4. Step 4: Simplify right side
    9,677.70x = 86,491,696.86
  5. Step 5: Solve for x
    x = 86,491,696.86/9,677.70
  6. Step 6: Final answer
    x = 8,937.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.